{"id":"https://openalex.org/W7225428192","doi":"https://doi.org/10.5281/zenodo.24019796","title":"S-Matrix Stability and Quark Confinement Potential via the Non-Markovian K-Kernel Framework","display_name":"S-Matrix Stability and Quark Confinement Potential via the Non-Markovian K-Kernel Framework","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225428192","doi":"https://doi.org/10.5281/zenodo.24019796"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24019796","doi":"https://doi.org/10.5281/zenodo.24019796","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24019796","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24019796","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152735993","display_name":"MOHAMMED TAHAR SAIM","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"SAIM, MOHAMMED TAHAR","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5152735993"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.004699999932199717,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10527","display_name":"High-Energy Particle Collisions Research","score":0.0038999998942017555,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quark-confinement","display_name":"quark confinement","score":0.9739999771118164},{"id":"https://openalex.org/keywords/s-matrix-unitarity","display_name":"S-matrix unitarity","score":0.7279999852180481},{"id":"https://openalex.org/keywords/linear-confinement-potential","display_name":"linear confinement potential","score":0.7739999890327454},{"id":"https://openalex.org/keywords/yukawa-potential","display_name":"Yukawa potential","score":0.9610000252723694},{"id":"https://openalex.org/keywords/elastic-scattering","display_name":"elastic scattering","score":0.7400000095367432},{"id":"https://openalex.org/keywords/strong-interaction","display_name":"strong interaction","score":0.46700000762939453},{"id":"https://openalex.org/keywords/conservation-of-probability","display_name":"probability conservation","score":0.5709999799728394},{"id":"https://openalex.org/keywords/effective-potential","display_name":"effective potential","score":0.3840000033378601}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8288000226020813},{"id":"https://openalex.org/C7602139","wikidata":"https://www.wikidata.org/wiki/Q6718","display_name":"Quark","level":2,"score":0.7141000032424927},{"id":"https://openalex.org/C130295795","wikidata":"https://www.wikidata.org/wiki/Q3550684","display_name":"Unitarity","level":2,"score":0.6481999754905701},{"id":"https://openalex.org/C98795603","wikidata":"https://www.wikidata.org/wiki/Q505724","display_name":"Color confinement","level":3,"score":0.5799999833106995},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.5299999713897705},{"id":"https://openalex.org/C151195881","wikidata":"https://www.wikidata.org/wiki/Q1153833","display_name":"Yukawa potential","level":2,"score":0.490200012922287},{"id":"https://openalex.org/C117137515","wikidata":"https://www.wikidata.org/wiki/Q238170","display_name":"Quantum chromodynamics","level":2,"score":0.483599990606308},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4779999852180481},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.4383000135421753},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.43639999628067017},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.4269999861717224},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.421099990606308},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3707999885082245},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.33719998598098755},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.3249000012874603},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3215000033378601},{"id":"https://openalex.org/C96537103","wikidata":"https://www.wikidata.org/wiki/Q11415","display_name":"Strong interaction","level":2,"score":0.32019999623298645},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2994999885559082},{"id":"https://openalex.org/C102999125","wikidata":"https://www.wikidata.org/wiki/Q43116","display_name":"Elementary particle","level":2,"score":0.29330000281333923},{"id":"https://openalex.org/C176616139","wikidata":"https://www.wikidata.org/wiki/Q1890674","display_name":"Quark model","level":4,"score":0.288100004196167},{"id":"https://openalex.org/C84269361","wikidata":"https://www.wikidata.org/wiki/Q179235","display_name":"Phenomenology (philosophy)","level":2,"score":0.28540000319480896},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2842999994754791}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24019796","doi":"https://doi.org/10.5281/zenodo.24019796","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24019796","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24019797","doi":"https://doi.org/10.5281/zenodo.24019797","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24019797","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24019796","doi":"https://doi.org/10.5281/zenodo.24019796","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24019796","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W14998845","https://openalex.org/W7202159376","https://openalex.org/W7212171478","https://openalex.org/W1640335455","https://openalex.org/W2990078947","https://openalex.org/W7162329549","https://openalex.org/W2048628950","https://openalex.org/W6930595783","https://openalex.org/W7106789065","https://openalex.org/W7207871030"],"abstract_inverted_index":{"In":[0,40],"Quantum":[1],"Chromodynamics":[2],"(QCD),":[3],"the":[4,50,54,65,82,86,93,101,113,125],"confinement":[5,51,73],"of":[6,49,85],"quarks":[7,22],"is":[8,23],"a":[9,27,33,45,60,71,120],"fundamental":[10],"phenomenon":[11],"where":[12],"color-charged":[13],"particles":[14],"cannot":[15],"exist":[16],"in":[17],"isolation.":[18],"The":[19],"interaction":[20],"between":[21],"typically":[24],"modeled":[25],"by":[26,32],"short-range":[28],"Yukawa":[29],"potential,":[30,67],"supplemented":[31],"phenomenological":[34,126],"linear":[35,72],"term":[36,63],"to":[37,81,108,124],"explain":[38],"confinement.":[39],"this":[41],"paper,":[42],"we":[43,68,91],"propose":[44],"novel,":[46],"deterministic":[47],"derivation":[48],"potential":[52],"using":[53],"non-Markovian":[55],"K-Kernel":[56,114],"framework.":[57],"By":[58],"introducing":[59],"spacetime":[61],"memory":[62],"into":[64],"effective":[66],"demonstrate":[69],"that":[70,100,112],"regime":[74],"naturally":[75],"emerges":[76],"at":[77],"large":[78],"distances":[79],"due":[80],"historical":[83],"accumulation":[84],"strong":[87],"force":[88],"field.":[89],"Furthermore,":[90],"calculate":[92],"S-Matrix":[94],"for":[95],"elastic":[96],"scattering":[97],"and":[98],"show":[99],"unitarity":[102],"magnitude":[103],"|S|":[104],"remains":[105],"perfectly":[106],"equal":[107],"1.0.":[109],"This":[110],"proves":[111],"modification":[115],"preserves":[116],"probability":[117],"conservation,":[118],"offering":[119],"mathematically":[121],"rigorous":[122],"alternative":[123],"string":[127],"models.":[128]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-07T00:00:00"}